A Fourth Order Improved Numerical Scheme for the Generalized Burgers—Huxley Equation
A. G. Bratsos
DOI: 10.4236/ajcm.2011.13017   PDF    HTML     8,450 Downloads   14,821 Views   Citations


A fourth order finite-difference scheme in a two-time level recurrence relation is proposed for the numerical solution of the generalized Burgers--Huxley equation. The resulting nonlinear system, which is analysed for stability, is solved using an improved predictor-corrector method. The efficiency of the proposed method is tested to the kink wave using both appropriate boundary values and conditions. The results arising from the experiments are compared with the relevant ones known in the available bibliography.

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A. Bratsos, "A Fourth Order Improved Numerical Scheme for the Generalized Burgers—Huxley Equation," American Journal of Computational Mathematics, Vol. 1 No. 3, 2011, pp. 152-158. doi: 10.4236/ajcm.2011.13017.

Conflicts of Interest

The authors declare no conflicts of interest.


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